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Finding the Fourth Proportional to 292,462.96, 438,700.92 and 82,096.24

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Solution

The fourth proportional to 292,462.96, 438,700.92 and 82,096.24 is: 123,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,462.96 : 438,700.92 = 82,096.24 : x
  2. Step 2: Convert to fraction form
    292,462.96/438,700.92 = 82,096.24/x
  3. Step 3: Cross multiply
    292,462.96x = 438,700.92 × 82,096.24
  4. Step 4: Simplify right side
    292,462.96x = 36,015,696,016.54
  5. Step 5: Solve for x
    x = 36,015,696,016.54/292,462.96
  6. Step 6: Final answer
    x = 123,146.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.